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Finding the Fourth Proportional to 1,325.53, 1,988.44 and 448.01

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Solution

The fourth proportional to 1,325.53, 1,988.44 and 448.01 is: 672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.53 : 1,988.44 = 448.01 : x
  2. Step 2: Convert to fraction form
    1,325.53/1,988.44 = 448.01/x
  3. Step 3: Cross multiply
    1,325.53x = 1,988.44 × 448.01
  4. Step 4: Simplify right side
    1,325.53x = 890,829.94
  5. Step 5: Solve for x
    x = 890,829.94/1,325.53
  6. Step 6: Final answer
    x = 672.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.